Surveys in Mathematics and its Applications


ISSN 1842-6298 (electronic), 1843-7265 (print)
Volume 4 (2009), 133 -- 138

ON A RECURRENCE RELATION OF GENERALIZED MITTAG-LEFFLER FUNCTION

Ajay K. Shukla and Jyotindra C. Prajapati

Abstract. The principal aim of this paper is to investigate a recurrence relation and an integral representation of generalized Mittag-Leffler function Eα ,β γ ,q (z). In the end several special cases have also been discussed.

2000 Mathematics Subject Classification: Primary 33E12; Secondary 33B15.
Keywords: Generalized Mittag-Leffler function; Recurrence relation; Wiman's function.

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References

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Ajay K. Shukla
Jyotindra C. Prajapati
Department of Mathematics, Department of Mathematics,
S.V. National Institute of Technology, Faculty of Technology and Engineering,
Surat-395 007, India. Charotar University of Science and Technology,
e-mail: ajayshukla2@rediffmail.com Changa, Anand-388 421, India.
e-mail: jyotindra18@rediffmail.com


http://www.utgjiu.ro/math/sma